6. Sketch the vector lield diagrams of the following systems of differential equations in the (r, y)-plane (a) :- 8y l = -x+3y = x - (b) Ja' = 2x – 4y le = x – 2y %3D (c) = -12.x – 18y = 5x – 6y

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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6. Sketch the vector field diagrams of the following systems of differential equations in
the (x, y)-plane
(a)
= x – 8u
ly = -x + 3y
(b)
x' = 2x – 4y
= x – 2y
(c)
- 18y
y = 5x – 6y
12x –
Transcribed Image Text:6. Sketch the vector field diagrams of the following systems of differential equations in the (x, y)-plane (a) = x – 8u ly = -x + 3y (b) x' = 2x – 4y = x – 2y (c) - 18y y = 5x – 6y 12x –
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